Alexander Gillespie (1776–1859) was a Scottish surgeon.

Alexander Gillespie may also refer to:

• Al Gillespie (Alexander M. Gillespie), professor of law in New Zealand
• Alexander Garfield Gillespie (1881–1956), American football player and brigadier general in the United States Army
• George Alexander Gillespie (1872–1956), merchant and political figure in Ontario
• Alexander Gillespie Raymond Jr., known as Alex Raymond, (1909–1956), American cartoonist best known for creating the Flash Gordon comic

This disambiguation page lists articles about people with the same name.
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